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Finding the Fourth Proportional to 17,074.82, 25,614.97 and 7,214.20

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Solution

The fourth proportional to 17,074.82, 25,614.97 and 7,214.20 is: 10,822.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,074.82 : 25,614.97 = 7,214.20 : x
  2. Step 2: Convert to fraction form
    17,074.82/25,614.97 = 7,214.20/x
  3. Step 3: Cross multiply
    17,074.82x = 25,614.97 × 7,214.20
  4. Step 4: Simplify right side
    17,074.82x = 184,791,434.50
  5. Step 5: Solve for x
    x = 184,791,434.50/17,074.82
  6. Step 6: Final answer
    x = 10,822.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.